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Unit 2 Quiz Review Exit Ticket

Total questions: 80

Worksheet time: 3hrs 29mins

Name
Class
Date
1.
The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x2 + 4x - 5
a)
Degree 2  (quadratic)
b)
Degree 3 (cubic)
c)
Degree 4 (quartic)
d)
Degree 5 (quintic)
2.
The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x4 - 3x + 2
a)
Degree 2 (quadratic)
b)
Degree 3 (cubic)
c)
Degree 4 (quartic)
d)
Degree 5 (quintic)
3.
The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = 2x3 + 4x - 5
a)
The leading coefficient is 2
b)
The leading coefficient is 3
c)
The leading coefficient is 4
d)
The leading coefficient is 5
4.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
5.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
6.
What is the leading coefficient?
a)
Positive 
b)
Negative
c)
Odd 
d)
Even
7.
Which equation MOST LIKELY matches the graph?
a)
y = x4 - x3 + 3x2 + 2
b)
y = -x4 + x3 + 5x + 2
c)
y = x3 - 2x2 + 1x + 3
d)
y = -x3 - 2x2 + 1x + 3
8.
Which of the following helps determine end behavior?
a)
The leading coefficient
b)
The number of terms in the function
c)
The y-intercept
d)
The x-intercepts
9.

The end behavior of this polynomial is...

a)
b)
c)
d)
10.
Which function has this end behavior?
a)
-1x4-3x3+3
b)
-2x7+2x4+4
c)
3x8+3x5-4x+7
d)
4x5-4x4+2x3-9
11.
Describe the end behavior of the graph.
a)
x →∞, y→∞ and x→∞, y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→0 and x→∞, y→⁻∞
12.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
13.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
14.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→2
d)
x →∞,y→2 and x→⁻∞, y→∞
15.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
b)
+∞
-∞
c)
-∞
+∞
d)
+∞
+∞
16.

What is another way to say "where a function crosses the x-axis"?

a)

x-intercept

b)

zero

c)

root

d)

all of these.

17.

The degree of the polynomial determines the max number of roots.

a)

True

b)

False

18.

Zero of polynomial 3x-7 is ......

a)

7/3

b)

-7/3

c)

3/7

d)

-3/7

19.
What are the zeros of the function?
a)
4,1
b)
3,1,-2,-5
c)
-3, -1, 2, 5
d)
-2,4
20.
What is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)
a)
Degree: 6
b)
Degree: 5
c)
Degree: 3
d)
Degree: 2
21.

Which best describes the multiplicity of a root?

a)

It is the number of times the corresponding factor is repeated

b)

It is the highest degree of the polynomial

c)

It is the number of times x is multiplied by itself

d)

It is the number of x-intercepts on a graph

22.
What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
23.
What are the roots of the polynomial function?
y = (x + 2)(x - 7)3
a)
-2, 7 multiplicity 3
b)
-2, 7, 3
c)
2, -7 multiplicity 3
d)
2, -7, 3
24.
Which is a zero of the graph?
a)
0
b)
-1
c)
1.5
d)
-3
25.

What are the zeros in (x-5)(x+4)

a)

4 and -5

b)

5 and -4

c)

-4 and -5

d)

no zeros

26.

What is another word for zeros?

a)

solutions

b)

x -intercepts

c)

roots

d)

All of the these!

27.
Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)
a)
-1, 3
b)
0, -1, 3
c)
1, -3
d)
0, -3, 1
28.

Find the root(s) of the function.

a)

x = 3

b)

x = {-3, -1, 2}

c)

x = {-3, 2}

d)

x = -1

29.
What is the vertex for
f(x)=4(x-2)2 + 3
a)
(-2, 3)
b)
(2,-3)
c)
(4,3)
d)
(2,3)
30.
Does the parabola
f(x)=4(x-2)2 + 3
open up or down?
a)
up
b)
down
31.
What is the axis of symmetry for 
f(x)=4(x-2)2 + 3
a)
4
b)
2
c)
x = -2
d)
x = 2
32.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
33.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
34.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
35.

The parabola y = x2 - 2x + 4

a)

will have a minimum value.

b)

will have a maximum value.

36.

The parabola y = - 2x2 - 4x + 1 will have an axis of symmetry of

a)

x = - 1

b)

x = 1

c)

x = 4

d)

x = - 4

37.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
38.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

39.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
40.

Give the vertex: y = 2(x + 3)2 + 7

(a)  

41.

Give the vertex: y = -4(x - 1)2 + 6

(a)  

42.

Convert the quadratic from vertex to standard form: y = (x - 9)2

a)

y = x2 + 18x + 81

b)

y = x2 - 18x + 81

c)

y = x2 - 18x + 18

d)

y = x2 - 18x - 81

43.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
44.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
45.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
46.
What are the roots of the function? 
a)
{x|x = 4, -1}
b)
(-4, 1)
c)
{x|x = -4, 1}
d)
(4, 0) (-1, 0)
47.
What are the x-intercept/s of the function? 
a)
{x|x = 3}
b)
{x|x =-3,3}
c)
(3, 0)
d)
(-3, 0)&(3, 0)
48.
Complete the square.
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
49.

Solve the following quadratics equation by completing the square...


x2 + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

50.

Solve the following quadratics equation by completing the square...


x2 + 4x - 1 = 0

a)

x = -2 ± √5

b)

x = -5 ± √2

c)

x = 2 ± √5

d)

x = -5 ± √5

51.

Solve the following quadratics equation by completing the square...


x2 + 6x - 3 = 0

a)

x = -3 ± √12

b)

x = 3 ± √12

c)

x = 12 ± √3

d)

x = -12 ± √3

52.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
53.
Simplify: 
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
54.
Simplify: 
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i  - 12i2
c)
51 - 24i
d)
58 + 60i
55.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
56.
a)
A
b)
B
c)
C
d)
D
57.
Simplify:
-3i(4 + 2i)
a)
6 - 12i
b)
6 + 12i
c)
-12i - 6i2
d)
-12i + 6i2
58.
Multiply: 
(4 – 3i)(-7 – 2i)
a)
A.  -23 + 13i
b)
B.  -23 - 29i
c)
C.  -34 + 13i
d)
D.  -34 - 29i
59.
Simplify: 
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
60.

(-7+6i)2

a)

49+36i

b)

85

c)

13-84i

d)

13+84i

61.
What is the capital of Utah?
a)
Springdale
b)
Salt Lake City
c)
St. George
d)
Kanab
62.

How long can a snail sleep?

a)

5 years

b)

3 years

c)

6 months

d)

a day

63.

In which hand is the Statue of Liberty's torch?

a)

Left

b)

Right

c)

She isn't holding one

64.
"I thought my heart had learned its lesson; it feels so good when you start out..."
a)
Hercules
b)
Tangled
c)
Frozen
d)
Snow White
65.
Name all the numbers from 1 – 100, which have the letter ‘A’ in their spellings?
a)
none
b)
19
c)
18
d)
29
66.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
67.
Let
f(x) = 4x^2 -33x -27.  
Is k = 9 a zero of the function?
a)
yes
b)
no
68.
(2x3 + 5x2 + 9)
÷
(x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
69.
x3-3x2-10x+24
 ÷
 x+3
a)
x2-7x+5
b)
x-8
c)
x2-6x+8
d)
x+9
70.
a)
This is correct
b)
This is incorrect
71.
What should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)
a)
3   0   -4   6   1
b)
6   -4   3   1   0
c)
6   -4   0   3   1
d)
-6   4   0   -3   -1
72.
When p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?
a)
p(2) = 656
b)
p(2) = 652
c)
p(2) = -64
d)
p(2) = -368
73.
Is (x-4) a factor of (x3 +x2 -16x-16)?
a)
YES
b)
NO
74.
What is the proper way to write the answer for the following problem? 
a)
2x3-x2-25x-12
b)
2x4-x3-25x2-12x+0
75.

Expand the expression using the Binomial Theorem.

(2x+5)4

a)

2x4 + 40x3 + 300x2 + 1000x +625

b)

16x4 + 160x3 +600x2 +1000x + 625

c)

16x4 + 1000x3 + 600x2 + 160x +625

76.
What is row 7 of Pascal's Triangle?
a)
1, 5, 10, 5, 1
b)
1, 5, 10, 10, 5, 1
c)
1, 7, 21, 35, 35, 21, 7, 1
d)
1, 7, 21, 35, 21, 7, 1
77.
Find the coefficient of the x3 in (2x+1)12
a)
112640
b)
440
c)
1760
d)
440x3
78.

Choose the right Pascal's triangle

a)
b)
c)
d)
79.
Classify
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Polynomial
80.

Find the element in Pascal's Triangle. 12th row and 5 element.

a)

1

b)

495

c)

330

d)

792

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